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Finding the Third Proportional to 494,347 and 1,079,306

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Solution

The third proportional to 494,347 and 1,079,306 is: 2,356,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,347 : 1,079,306 = 1,079,306 : x
  2. Step 2: Convert to fraction form
    494,347/1,079,306 = 1,079,306/x
  3. Step 3: Cross multiply
    494,347x = 1,079,306 × 1,079,306
  4. Step 4: Simplify right side
    494,347x = 1,164,901,441,636
  5. Step 5: Solve for x
    x = 1,164,901,441,636/494,347
  6. Step 6: Final answer
    x = 2,356,444.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.